{"id":1707,"date":"2024-03-05T15:21:35","date_gmt":"2024-03-05T15:21:35","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=1707"},"modified":"2024-03-05T15:21:35","modified_gmt":"2024-03-05T15:21:35","slug":"if-b-d-2c-b-c-2d-a-c-b-d-and-a-d-b-c-the-relations-between-a-b-c-and-d-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-b-d-2c-b-c-2d-a-c-b-d-and-a-d-b-c-the-relations-between-a-b-c-and-d-is\/","title":{"rendered":"If B + D > 2C, B + C = 2D, A + C > B + D and A + D > B + C, the relations between A, B, C and D is"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a97fef0c6fe8\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    &#8221;B                <\/div>\r\n                                                                                                                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    &#8221;A                <\/div>\r\n                                                                                                                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    &#8221;B                <\/div>\r\n                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    &#8221;A                <\/div>\r\n                                                                                                                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is (b).<\/p>\n<p>We can start by combining the first two equations:<\/p>\n<p>$B + D = 2C$<br \/>\n$B + C = 2D$<\/p>\n<p>Subtracting the second equation from the first equation, we get:<\/p>\n<p>$D = C$<\/p>\n<p>We can then substitute this into the third equation:<\/p>\n<p>$A + C &gt; B + D$<br \/>\n$A + C &gt; B + C$<\/p>\n<p>Simplifying, we get:<\/p>\n<p>$A &gt; B$<\/p>\n<p>Finally, we can substitute $C = D$ into the fourth equation:<\/p>\n<p>$A + D &gt; B + C$<br \/>\n$A + D &gt; B + D$<\/p>\n<p>Simplifying, we get:<\/p>\n<p>$A &gt; B$<\/p>\n<p>Therefore, the relations between A, B, C and D is $A &gt; B &gt; D &gt; C$.<\/p>\n<p>Here is a more detailed explanation of each option:<\/p>\n<ul>\n<li>Option (a): $B &gt; D &gt; C &gt; A$. This is not possible, because $C = D$.<\/li>\n<li>Option (b): $A &gt; D &gt; C &gt; B$. This is the correct answer, as shown above.<\/li>\n<li>Option (c): $B &gt; B &gt; D &gt; C$. This is not possible, because $B \\neq D$.<\/li>\n<li>Option (d): $A &gt; B &gt; D &gt; C$. This is not possible, because $A &gt; B$.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If B + D &gt; 2C, B + C = 2D, A + C &gt; B + D and A + D &gt; B + C, the relations between A, B, C and D is<\/title>\n<meta name=\"description\" content=\"We can start by combining the first two equations:\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/if-b-d-2c-b-c-2d-a-c-b-d-and-a-d-b-c-the-relations-between-a-b-c-and-d-is\/\" \/>\n<meta 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